| In this paper, a super integrable system for the super D-AKNS hierarchy is discussed. First, a 3 x 3 matrix spectral problem is proposed, a super D-AKNS hierarchy associated with the 3×3 matrix spectral problem is derived with the help of the zero-curvature e-quation. Second, the super Bi-Hamiltonion structures for the hierarchy are given by using the super trace identity. Finally, the infinite conservation laws of the first nontrivial super equations are deduced by making use of spectral parameter expansions. |
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